This paper is the ideal continuation of a previous one devoted to the coordinatization of the affine planes (cf. Fiori and Pellegrino, 1995). Here we prosecute the illustration of some important results in the realm of the fundaments of Geometry showing how it is possible, in the case of the plane, to arrive at the equations of affinities on the base of purely geometrical considerations. We conclude the paper giving a characterization of the affine planes by von Staudt, which include the usual plane.
Alla ricerca delle affinità perdute (e non) / Fiori, Carla; Pellegrino, Consolato. - In: LA MATEMATICA E LA SUA DIDATTICA. - ISSN 1120-9968. - STAMPA. - 10 (n. 1):(1996), pp. 46-56.
Alla ricerca delle affinità perdute (e non)
FIORI, Carla;PELLEGRINO, Consolato
1996
Abstract
This paper is the ideal continuation of a previous one devoted to the coordinatization of the affine planes (cf. Fiori and Pellegrino, 1995). Here we prosecute the illustration of some important results in the realm of the fundaments of Geometry showing how it is possible, in the case of the plane, to arrive at the equations of affinities on the base of purely geometrical considerations. We conclude the paper giving a characterization of the affine planes by von Staudt, which include the usual plane.
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